{"id":"https://openalex.org/W2921793529","doi":"https://doi.org/10.5220/0007367205010508","title":"Faster RBF Network Learning Utilizing Singular Regions","display_name":"Faster RBF Network Learning Utilizing Singular Regions","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2921793529","doi":"https://doi.org/10.5220/0007367205010508","mag":"2921793529"},"language":"en","primary_location":{"id":"doi:10.5220/0007367205010508","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0007367205010508","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.5220/0007367205010508","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021465053","display_name":"Seiya Satoh","orcid":null},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Seiya Satoh","raw_affiliation_strings":["Tokyo Denki University, Ishizaka, Hatoyama-machi, Hiki-gun, Saitama 350-0394 and Japan, --- Select a Country ---"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokyo Denki University, Ishizaka, Hatoyama-machi, Hiki-gun, Saitama 350-0394 and Japan, --- Select a Country ---","institution_ids":["https://openalex.org/I165522056"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100835224","display_name":"Ryohei Nakano","orcid":null},"institutions":[{"id":"https://openalex.org/I184937672","display_name":"Chubu University","ror":"https://ror.org/02sps0775","country_code":"JP","type":"education","lineage":["https://openalex.org/I184937672"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ryohei Nakano","raw_affiliation_strings":["Chubu University, 1200 Matsumoto-cho, Kasugai, 487-8501 and Japan, --- Select a Country ---"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chubu University, 1200 Matsumoto-cho, Kasugai, 487-8501 and Japan, --- Select a Country ---","institution_ids":["https://openalex.org/I184937672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01684928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"501","last_page":"508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9311000108718872,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9240000247955322,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.8373422026634216},{"id":"https://openalex.org/keywords/perceptron","display_name":"Perceptron","score":0.65233314037323},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.6289196610450745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6028963923454285},{"id":"https://openalex.org/keywords/hierarchical-rbf","display_name":"Hierarchical RBF","score":0.5444844365119934},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5039874911308289},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.4462074339389801},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.44209402799606323},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3493031859397888},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34476953744888306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2639557719230652},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2043493390083313}],"concepts":[{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.8373422026634216},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.65233314037323},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.6289196610450745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6028963923454285},{"id":"https://openalex.org/C182016430","wikidata":"https://www.wikidata.org/wiki/Q17029399","display_name":"Hierarchical RBF","level":4,"score":0.5444844365119934},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5039874911308289},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.4462074339389801},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.44209402799606323},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3493031859397888},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34476953744888306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2639557719230652},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2043493390083313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5220/0007367205010508","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0007367205010508","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.5220/0007367205010508","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0007367205010508","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2410216726","https://openalex.org/W2096715552","https://openalex.org/W1598419248","https://openalex.org/W2794503223","https://openalex.org/W2294862180","https://openalex.org/W2024184249","https://openalex.org/W2162647716","https://openalex.org/W1969044629","https://openalex.org/W2186005834","https://openalex.org/W1785485394"],"abstract_inverted_index":{"There":[0],"are":[1],"two":[2,122],"ways":[3],"to":[4,66,86],"learn":[5],"radial":[6],"basis":[7],"function":[8],"(RBF)":[9],"networks:":[10],"one-stage":[11,19,131],"and":[12,42,74],"two-stage":[13],"learnings.":[14],"Recently":[15],"a":[16,31,92,105],"very":[17],"powerful":[18],"learning":[20,132],"method":[21],"called":[22,110],"RBF-SSF":[23,55,81,109],"has":[24,82],"been":[25],"proposed,":[26],"which":[27],"can":[28,43],"stably":[29],"find":[30,87],"series":[32],"of":[33,39,52,94,108,116],"excellent":[34,88,137],"solutions,":[35,89],"making":[36],"good":[37],"use":[38],"singular":[40],"regions,":[41],"monotonically":[44],"decrease":[45],"training":[46],"error":[47],"along":[48],"with":[49],"the":[50,60,69,83,100,117,136],"increase":[51],"hidden":[53],"units.":[54],"was":[56,72],"built":[57],"by":[58,112],"applying":[59],"SSF":[61,70],"(singularity":[62],"stairs":[63],"following)":[64],"paradigm":[65,71],"RBF":[67],"networks;":[68],"originally":[73],"successfully":[75],"proposed":[76],"for":[77],"multilayer":[78],"perceptrons.":[79],"Although":[80],"strong":[84],"capability":[85],"it":[90,98],"required":[91],"lot":[93],"time":[95],"mainly":[96],"because":[97],"computes":[99],"Hessian.":[101,118],"This":[102],"paper":[103],"proposes":[104],"faster":[106],"version":[107],"RBF-SSF(pH)":[111,125],"introducing":[113],"partial":[114],"calculation":[115],"The":[119],"experiments":[120],"using":[121],"datasets":[123],"showed":[124],"ran":[126],"as":[127,129],"fast":[128],"usual":[130],"methods":[133],"while":[134],"keeping":[135],"solution":[138],"quality.":[139]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}